find the standard deviation of all nodes in a linked list in php

To find the standard deviation of all nodes in a linked list in PHP, we will first need to calculate the mean, variance and then the standard deviation of the values in the list.

Here's the PHP code to calculate the standard deviation of all nodes in a linked list:

main.php
class Node {
    public $value;
    public $next;
    
    public function __construct($value, $next=null) {
        $this->value = $value;
        $this->next = $next;
    }
}

class LinkedList {
    public $head;
        
    public function __construct() {
        $this->head = null;
    }
    
    // Function to calculate the standard deviation
    public function standardDeviation() {
        // Calculate the mean
        $count = 0;
        $mean = 0;
        $current = $this->head;
        while ($current != null) {
            $count++;
            $mean += $current->value;
            $current = $current->next;
        }
        $mean /= $count;
        
        // Calculate the variance
        $sum_squared_diff = 0;
        $current = $this->head;
        while ($current != null) {
            $sum_squared_diff += pow($current->value - $mean, 2);
            $current = $current->next;
        }
        $variance = $sum_squared_diff / $count;
        
        // Calculate the standard deviation
        $standard_deviation = sqrt($variance);
        
        return $standard_deviation;
    }
}

// Test
$list = new LinkedList();
$list->head = new Node(1);
$list->head->next = new Node(2);
$list->head->next->next = new Node(3);

echo $list->standardDeviation(); // Output: 0.81649658092773
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In the code above, we have implemented a LinkedList class with a standardDeviation() method. This method calculates the mean of the values in the list, then the variance, and finally the standard deviation. We have also provided a simple test case to demonstrate the usage of this method.

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